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Solvability Conditions of the Cauchy Problem for the System of Internal Waves

Author(s): Inessa Matveeva

Journal: Selçuk Journal of Applied Mathematics ISSN 1302-7980
Volume: 2; Issue: 1; Start page: 69; Date: 2001;
Original page

Keywords: Integrodifferential equations | Cauchy problem | conditions of solvability | weighted Sobolev spaces.

ABSTRACT
The author studies the Cauchy problem for a system of integrodifferential equations describing internal waves for the Boussinesq approximation. The necessary and sufficient conditions of solvability in weighted Sobolev spaces are established.